2985408 has 84 divisors (see below), whose sum is σ = 8796528. Its totient is φ = 967680.

The previous prime is 2985397. The next prime is 2985431. The reversal of 2985408 is 8045892.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40860 + ... + 40932.

2^2985408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2985408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4398264).

2985408 is an abundant number, since it is smaller than the sum of its proper divisors (5811120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2985408 is a wasteful number, since it uses less digits than its factorization.

2985408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2985408 is about 1727.8333252950. The cubic root of 2985408 is about 143.9907401453.

2985408 divided by its sum of digits (36) gives a palindrome (82928).

The spelling of 2985408 in words is "two million, nine hundred eighty-five thousand, four hundred eight".